Ancient finite entropy flows by powers of curvature in R-2

doi:10.1016/j.na.2021.112673

	Ancient finite entropy flows by powers of curvature in R-2
	Choi, Kyeongsu 1; Sun, Liming 2
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2022-03-01
卷号	216 页码:19
关键词	Curve shortening flow Ancient solutions Fully nonlinear parabolic PDEs
ISSN号	0362-546X
DOI	10.1016/j.na.2021.112673
英文摘要	We show the existence of non-homothetic ancient flows by powers of curvature embedded in R-2 whose entropy is finite. We determine the Morse indices and kernels of the linearized operator of shrinkers to the flows, and construct ancient flows by using unstable eigenfunctions of the linearized operator. (C) 2021 Elsevier Ltd. All rights reserved.
资助项目	KIAS Individual Grant[MG078901]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000721365200004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59607]
专题	中国科学院数学与系统科学研究院
通讯作者	Choi, Kyeongsu
作者单位	1.Korea Inst Adv Study, Sch Math, 85 Hoegiro, Seoul 02455, South Korea 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Choi, Kyeongsu,Sun, Liming. Ancient finite entropy flows by powers of curvature in R-2[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2022,216:19.
APA	Choi, Kyeongsu,&Sun, Liming.(2022).Ancient finite entropy flows by powers of curvature in R-2.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,216,19.
MLA	Choi, Kyeongsu,et al."Ancient finite entropy flows by powers of curvature in R-2".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 216(2022):19.